314377352000 has 112 divisors (see below), whose sum is σ = 780564666960. Its totient is φ = 125426432000.

The previous prime is 314377351997. The next prime is 314377352011. The reversal of 314377352000 is 253773413.

It can be written as a sum of positive squares in 8 ways, for example, as 247271485696 + 67105866304 = 497264^2 + 259048^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3061490 + ... + 3162510.

Almost surely, 2^314377352000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314377352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390282333480).

314377352000 is an abundant number, since it is smaller than the sum of its proper divisors (466187314960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

314377352000 is a wasteful number, since it uses less digits than its factorization.

314377352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101437 (or 101417 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 35.

The spelling of 314377352000 in words is "three hundred fourteen billion, three hundred seventy-seven million, three hundred fifty-two thousand".